SOLUTION: Solve. (Enter your answers as a comma-separated list.) y^4-10y^2+9=0

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Question 1058311: Solve. (Enter your answers as a comma-separated list.)
y^4-10y^2+9=0

Answer by ikleyn(52778)   (Show Source): You can put this solution on YOUR website!
.
Solve. (Enter your answers as a comma-separated list.)
y^4-10y^2+9=0
~~~~~~~~~~~~~~~~~~~

 = .

Factor the left side

 = .

This equation deploys in two independent equations:


1.   =   --->   = 1  --->  t = +/-1,

and

2.   =   --->   = 9  --->  t = +/-3.


Answer.  The solutions of the original equation are 1, -1, 3, and -3.


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